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Finding the Fourth Proportional to 4,663.92, 6,997.08 and 1,377.12

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Solution

The fourth proportional to 4,663.92, 6,997.08 and 1,377.12 is: 2,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.92 : 6,997.08 = 1,377.12 : x
  2. Step 2: Convert to fraction form
    4,663.92/6,997.08 = 1,377.12/x
  3. Step 3: Cross multiply
    4,663.92x = 6,997.08 × 1,377.12
  4. Step 4: Simplify right side
    4,663.92x = 9,635,818.81
  5. Step 5: Solve for x
    x = 9,635,818.81/4,663.92
  6. Step 6: Final answer
    x = 2,066.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.